CEMC Fermat, 2003

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In an art gallery, a 2 m high painting, $BT$ , is mounted on a wall with its bottom edge 1 m above the floor. A spotlight is mounted at $S$ , 3 m out from the wall and 4 m above the floor. The size of $\angle TSB$ is closest to

(A) $27^\circ$ (B) $63^\circ$ (C) $34^\circ$ (D) $45^\circ$ (E) $18^\circ$

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